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import string


def normalize_phone(phone):
    if not phone:
        return None

    phone = ''.join(n for n in phone if n in set(string.digits + '+'))
    phone_len = len(phone)

    if phone_len == 12:
        if phone.startswith('380'):
            phone = '+' + phone
    elif phone_len == 11:
        if phone.startswith('8'):
            phone = '+7' + phone.lstrip('8')
        elif phone.startswith('7'):
            phone = '+' + phone
    elif phone_len == 10:
        if phone.startswith('0'):
            phone = '+38' + phone
        elif phone.startswith('9'):
            phone = '+7' + phone

    if len(phone) < 12 or len(phone) > 13 or not phone.startswith('+'):
        return None

    return phone